Linear system reduction by impulse energy approximation

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    24 Citations (Scopus)


    A method is given for linear system reduction which is a more general form of the Routh method. The reduced models retain stability, and a fuller contribution is made to the impulse response energy of the reduced system by appropriate selection of retained alpha and beta parameters. It requires no more computation than the Routh method and can be presented in a compact tabular form. Examples are given to illustrate the method.
    Original languageEnglish
    Pages (from-to)784-786
    Number of pages3
    JournalIEEE Transactions on Automatic Control
    Issue number8
    Publication statusPublished - Aug 1985


    • Approximation methods
    • Frequency domain analysis
    • Linear systems
    • Mathematical model
    • Mathematics
    • Refining
    • Stability
    • Steady-state
    • Transfer functions


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